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elixir [45]
3 years ago
7

Country Carpets charges $25 per square yard for carpeting and an additional installation fee of $120. City carpets charges $35 p

er square yard for the same carpeting and an additional installation fee of $80. Write and solve an equation to find the number of square yards of carpeting for which the total cost charged by the two companies will be the same.​
Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0

Answer:

Step-by-step explanation:

25x+120=35x+80

25x+120 is Country Carpets equation

35x+80 is City carpets equation

x=4

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    25*x+120-(35*x+80)=0

Pull out like factors :

  -10x + 40  =   -10 • (x - 4)

Solve :    -10   =  0

Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

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3 0
3 years ago
The length of a rectangle is 5ft longer than twice the width if the perimeter is 58 ft find the length and width of the rectangl
Travka [436]
----------------------------------
Define x :
----------------------------------
Let the width be x.
Width = x
Length = 2x + 5                // Length is 5ft longer than twice the width

----------------------------------
Formula for Perimeter :
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Perimeter = 2 (Length + Width)

----------------------------------
Find Width :
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58 = 2 ( 2x + 5 + x)         // Substitute Length and Width into formula
58 = 2 (3x + 5)                // Combine like terms
58 = 6x + 10                    // Apply distributive property
48 = 6x                            // Take away 10 from both sides
6x = 48                            // Switch sides. Make x the subject
x = 8                                // Divide by 6 on both sides

----------------------------------
Find Length and Width :
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Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft

--------------------------------------------------------------------
Answer: The length is 21 ft and the width is 8 ft.
--------------------------------------------------------------------

3 0
3 years ago
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Answer:

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8 0
3 years ago
Which table represents a linear function?
AlladinOne [14]

The rate of change for the function on the table is; 15 grapes eaten per minute.

<h3>What is the rate of change of the function described by the table?</h3>

It follows from the complete question that the table given indicates that;

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On this note, it is conclusive that the rate of change of the function represented by the table is; 15 grapes eaten per minute.

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brainly.com/question/7220852

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